[Agda] Komencenta demando.

Thorsten Altenkirch Thorsten.Altenkirch at nottingham.ac.uk
Thu Mar 3 17:10:54 CET 2016


Hi,

I think bit-merge (you just merge the binary coding) coding is easier to
prove correct then the cantor coding. One of my MSc students verified this
(and other isos) in Agda a while ago. I’ll ask him wether it is ok to
share his work here.

Cheers,
Thorsten

On 02/03/2016, 19:00, "agda-bounces at lists.chalmers.se on behalf of Matteo
Acerbi" <agda-bounces at lists.chalmers.se on behalf of
matteo.acerbi at gmail.com> wrote:

>On Wed, Mar 2, 2016 at 3:58 PM, Serge Leblanc <33dbqnxpy7if at gmail.com>
>wrote:
>> Dear all,
>>
>> I'm trying to prove bijection between ℕ × ℕ and ℕ. Due to  (ℕ × ℕ) not
>> decrease, I fail to proof it.
>> [..]
>
>If you're interested, this is how I approached this exercise a while ago:
>
>https://gist.github.com/ma82/ceab499710fecf90eda2
>
>As the name suggests, I used the Bove-Capretta method.
>
>There surely are other approaches, also based on other pairing
>functions (e.g. pair :: Natural -> Natural -> Natural from
>http://math.andrej.com/2009/10/12/constructive-gem-double-exponentials/).
>
>Cheers,
>Matteo
>
>PS. I didn't check the file still works, I haven't had time to compile
>Agda in months.
>_______________________________________________
>Agda mailing list
>Agda at lists.chalmers.se
>https://lists.chalmers.se/mailman/listinfo/agda





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